A real estate agent working in a large city believes that, for three-bedroom houses, the selling price of the house decreases by approximately $2,000 for every mile increase in the distance of the house from the city center. To investigate the belief, the agent obtained a random sample of 20 three-bedroom houses that sold in the last year. The selling price, in thousands of dollars, and the distance from the city center, in miles, for each of the 20 houses are shown in the scatterplot. The table shows computer output from a regression analysis of the data.

(a) Describe the relationship between distance from city center and selling price.

(b) Find the linear regression equation. Interpret the slope and y-intercept in context.

) One house that was 11 miles from city center had a residual of -2.962. What was the actual selling price of the home?